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Finding the Fourth Proportional to 509,390.46, 702,924.78 and 279,942.81

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Solution

The fourth proportional to 509,390.46, 702,924.78 and 279,942.81 is: 386,302.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,390.46 : 702,924.78 = 279,942.81 : x
  2. Step 2: Convert to fraction form
    509,390.46/702,924.78 = 279,942.81/x
  3. Step 3: Cross multiply
    509,390.46x = 702,924.78 × 279,942.81
  4. Step 4: Simplify right side
    509,390.46x = 196,778,738,131.83
  5. Step 5: Solve for x
    x = 196,778,738,131.83/509,390.46
  6. Step 6: Final answer
    x = 386,302.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.